What lattice theorists can do for superstring/M-theory

Abstract

The gauge/gravity duality provides us with nonperturbative formulation of superstring/M-theory. Although inputs from gauge theory side are crucial for answering many deep questions associated with quantum gravitational aspects of superstring/M-theory, many of the important problems have evaded analytic approaches. For them, lattice gauge theory is the only hope at this moment. In this review I give a list of such problems, putting emphasis on problems within reach in a five-year span, including both Euclidean and real-time simulations.

Contribution to IJMPA special issue "Lattice gauge theory beyond QCD". v2: References added, explanations have been improved in several places. And the title in the front page has been corrected. Sorry!

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• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Monte Carlo studies of supersymmetric matrix quantum mechanics with sixteen supercharges at finite temperature
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Cited by in corpus (9)

• Testing holography using lattice super-Yang--Mills on a 2-torus
• Toward simulating Superstring/M-theory on a quantum computer
• Supersymmetry on the lattice
• Thermal phase transition in Yang-Mills matrix model
• Lattice studies of supersymmetric gauge theories
• The Flavoured BFSS Model at High Temperature
• Holographic signatures of resolved cosmological singularities
• The AdS^2_θ/CFT_1 Correspondence and Noncommutative Geometry I: A QM/NCG Correspondence
• The AdS^2_θ/CFT_1 Correspondence and Noncommutative Geometry II: Noncommutative Quantum Black Holes